Online GCD Calculator is useful to find the GCD of 130, 840, 524, 355 quickly. Get the easiest ways to solve the greatest common divisor of 130, 840, 524, 355 i.e 1 in different methods as follows.
Given Input numbers are 130, 840, 524, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (130, 840, 524, 355) = 1.
Given numbers are 130, 840, 524, 355
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 524 are 2 x 2 x 131
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 130, 840, 524, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 840) = 10920
GCD(130, 840) = ( 130 x 840 ) / 10920
= 130 / 840
= 130
Step2:
LCM(10, 524) = 2620
GCD(10, 524) = ( 10 x 524 ) / 2620
= 10 / 524
= 10
Step3:
LCM(2, 355) = 710
GCD(2, 355) = ( 2 x 355 ) / 710
= 2 / 355
= 2
So, Greatest Common Divisor of 130, 840, 524, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 840, 524, 355
The greatest common divisor of numbers 130, 840, 524, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 840, 524, 355 is 1.
1. What is the GCD of 130, 840, 524, 355?
GCD of given numbers 130, 840, 524, 355 is 1
2. How to calculate the greatest common divisor of 130, 840, 524, 355?
We can find the highest common divisor of 130, 840, 524, 355 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 130, 840, 524, 355 i.e 1.
3. How can I use the GCD of 130, 840, 524, 355Calculator?
Out the numbers 130, 840, 524, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.